Construction of some mixed two- and four-level regular designs with GMC criterion

被引：2

作者：

Zhang, Tian-Fang ^{[1
]}

Li, Zhi-Ming ^{[2
]}

Yang, Jian-Feng ^{[3
,4
]}

Zhang, Run-Chu ^{[3
,4
,5
,6
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[3] Nankai Univ, LPMC, Tianjin, Peoples R China

[4] Nankai Univ, Inst Stat, Tianjin, Peoples R China

[5] Northeast Normal Univ, KLAS, Changchun, Jilin, Peoples R China

[6] Northeast Normal Univ, Sch Math & Stat, Changchun, Jilin, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 17期

关键词：

Aliased effect-number pattern (AENP); Effect hierarchy principle; GMC criterion; GMC design; Mixed two- and four-level design; MINIMUM ABERRATION; 2-LEVEL;

D O I：

10.1080/03610926.2016.1183787

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Generalminimum lower-order confounding (GMC) criterion is to choose optimal designs, which are based on the aliased effect-number pattern (AENP). The AENP and GMC criterion have been developed to form GMC theory. Zhang et al. (2015) introduced GMC 2(n)4(m) criterion for choosing optimal designs and constructed all GMC 2(n)4(1) designs with N/4 + 1 <= n + 2 <= 5N/16. In this article, we analyze the properties of 2(n)4(1) designs and construct GMC 2(n)4(1) designs with 5N/16 + 1 <= n + 2 < N -1, where n and N are, respectively, the numbers of two-level factors and runs. Further, GMC 2(n)4(1) designs with 16-run, 32-run are tabulated.

引用

页码：8497 / 8509

页数：13

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